Answer:
The total workers are<u> 2400.</u>
Step-by-step explanation:
Given:
In company 80% of the workers are women.
480 workers are men.
Now, to find the total workers in all.
<u><em>In first way:</em></u>
If women are 80%, then men would be 100-80 = 20%.
Let the total workers be 
.
According to question:
⇒
⇒
⇒
Dividing both sides by 0.20 we get:
⇒
.
Total workers = 2400.
<em><u>Now, in second way</u></em>.
Again, let the total workers be .
According to question:
⇒
<em>On solving:</em>
⇒
⇒
<em>Dividing both sides by 0.20 we get:</em>
⇒.
<em>Total workers = 2400.</em>
Therefore, the total workers are <u>2400</u>.
Answer:
Solution one is correct and solution 2 and 3 are incorrect
Step-by-step explanation:
You simply make an equation because for vertical angles 2 angles that are across from each other have the same value (in this case 2x+30 and 5x-36.)
The equation: 2x+30=5x-36---->3x=66----> x=22
Solution 1 is correct.
Hope this helped!
Answer:
input x = - 7
Step-by-step explanation:
A is modelled as y = 5x - 4
B is modelled as y = 3x + 8
We require output of A three times the output of B , then
5x - 4 = 3(3x + 8) ← distribute
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7 ← input
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Operations like +, - separates the terms.
Ex: 2x²+ 4yz-z
